This paper considers the fourth-order nonlinear differential equations with a deviating argument. Sufficient conditions for the existence and exponential stability of the almost periodic solutions are established, which are new and complement previously known results.
Periodic solutions for a class of fourth-order nonlinear differential equations
โ Scribed by Changhong Zhao; Wei Chen; Jinglei Zhou
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 382 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0362-546X
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โฆ Synopsis
In this paper, by using inequality techniques and coincidence degree theory, some sufficient conditions are established for ensuring the existence of T -periodic solutions for a class of fourth-order nonlinear differential equations. Two illustrative examples are provided to demonstrate that the results of this paper hold under weaker conditions than the existing ones, and are more effective.
๐ SIMILAR VOLUMES
In this paper, we use the Leray-Schauder degree theory to establish new results on the existence and uniqueness of anti-periodic solutions for a class of nonlinear nth-order differential equations with delays of the form